The equation of the line passing through $(2, 0)$ and having intercepts whose ratio is $m : n$ is

n x + m y = m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

n x + m y = 2 n

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

n x + m y = n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

n x + m y = 2 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $n x + m y = 2 n$
The intercepts are in ratio $m : n$
Let the common factor be $p$
$⟹$ the intercepts are $m p, n p$
The equation of line is $\frac{x}{m p} + \frac{y}{n p} = 1$
It passes through $(2, 0)$
$⟹ \frac{2}{m p} + 0 = 1 m p = 2 p = \frac{2}{m}$
So the equation is $\frac{x}{2} + \frac{y}{n \frac{2}{m}} = 1 n x + m y = 2 n$

Suggest Corrections

Similar questions

m x - m y - n x + n y

m, n

m x - n y = a (m^{2} - n^{2}), n x + m y = 2 a m n, m^{2} + n^{2} = 1

\frac{x + 1}{- 1} = \frac{y - 1}{2} = \frac{z - 2}{1}

n x + m y - 2 z = 4,

m - n =

\frac{(m + n) x - (a - b)}{(m - n) x - (a + b)} = \frac{(m + n) x + a + c}{(m - n) x + a - c}

n (X) = m, n (Y) = n

n (X \cap Y) = p

n (X \cup Y) =

Join BYJU'S Learning Program